Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 72, 710, 575, 707 i.e. 1 largest integer that divides all the numbers equally.
GCD of 72, 710, 575, 707 is 1
GCD(72, 710, 575, 707) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 72, 710, 575, 707 is 1
GCD(72, 710, 575, 707) = 1
Given Input numbers are 72, 710, 575, 707
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
Divisors of 575
List of positive integer divisors of 575 that divides 575 without a remainder.
1, 5, 23, 25, 115, 575
Divisors of 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Greatest Common Divisior
We found the divisors of 72, 710, 575, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 710, 575, 707 is 1.
Therefore, GCD of numbers 72, 710, 575, 707 is 1
Given Input Data is 72, 710, 575, 707
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 710 is 2 x 5 x 71
Prime Factorization of 575 is 5 x 5 x 23
Prime Factorization of 707 is 7 x 101
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(72, 710) = 25560
GCD(72, 710) = ( 72 x 710 ) / 25560
GCD(72, 710) = 51120 / 25560
GCD(72, 710) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 575
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 575) = 1150
GCD(2, 575) = ( 2 x 575 ) / 1150
GCD(2, 575) = 1150 / 1150
GCD(2, 575) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 707
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 707) = 707
GCD(1, 707) = ( 1 x 707 ) / 707
GCD(1, 707) = 707 / 707
GCD(1, 707) = 1
GCD of 72, 710, 575, 707 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 72, 710, 575, 707?
GCD of 72, 710, 575, 707 is 1
2. Where do I get the detailed procedure to find GCD of 72, 710, 575, 707?
You can find a detailed procedure to find GCD of 72, 710, 575, 707 on our page.
3. How to find GCD of 72, 710, 575, 707 on a calculator?
You can find the GCD of 72, 710, 575, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.